You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Dimensional Analysis

In system cal...

Question

In system called the star system we have $1$ star kilogram $= 10^{20} k g$ . $1$ starmeter $= 10^{8} m$ , $1$ starsecond $= 10^{3} s e c o n d$ then calculate the value of $1 j o u l e$ in this system.

10^{- 30} s t a r j o u l e

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10^{- 27} s t a r j o u l e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10^{- 32} s t a r j o u l e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $10^{- 30} s t a r j o u l e$
Dimension of joule $= M L^{2} T^{- 2}$
Value of $1 j o u l e$ in star system $= (10^{- 20}) (10^{- 8})^{2} (10^{- 3})^{- 2} = 10^{- 30} s t a r j o u l e$

Suggest Corrections

Similar questions

Q. A trinary star system has a time period,

T = 3

years, while the distance between its components is

2

astronomical unit. If mass of the sun is represented by

M_{s}

, then the total mass of this multiple star system will be

Note :
(1) System of three star, orbiting around centre of mass of system, is called trinary star system. For simplicity assume all three components to be identical.
(2) 1 astronomical unit = distance between earth and sun
(3) 1 year = time period of earth to complete one full revolution around sun

Q. In the Orion stellar system the shining of a star is

17 \times 10^{3}

times that of the sun. If the temperature of the surface of the sun

6 \times 10^{3} K

then the temperature of this star will be

If one joule of energy is converted to a new system of units in which length is measured in 10m, mass in 10 kilogram and time in 1 minute.What is the value of energy in this new system.

Q. In a new system of units, unit of mass is

10 k g

, unit of length is

1 k m

and unit of time is

1 m i n u t e

. The value of

1 j o u l e

in this new hypothetical system is :

Q. The value of gravitational constant

G

in Meter-Kilogram-Second system is

6.67 \times 10^{- 11} N - m^{2} k g^{- 2}

. What will be its value in centimetre gram second system.

Join BYJU'S Learning Program

In system called the star system we have 1 star kilogram =1020kg. 1 starmeter =108m, 1 starsecond =103second then calculate the value of 1joule in this system.

The correct option is A 10−30starjouleDimension of joule =ML2T−2Value of 1joule in star system =(10−20)(10−8)2(10−3)−2=10−30starjoule

In system called the star system we have $1$ star kilogram $= 10^{20} k g$ . $1$ starmeter $= 10^{8} m$ , $1$ starsecond $= 10^{3} s e c o n d$ then calculate the value of $1 j o u l e$ in this system.

The correct option is A $10^{- 30} s t a r j o u l e$
Dimension of joule $= M L^{2} T^{- 2}$
Value of $1 j o u l e$ in star system $= (10^{- 20}) (10^{- 8})^{2} (10^{- 3})^{- 2} = 10^{- 30} s t a r j o u l e$